Sur les ensembles semi-analytiques avec conditions Gevrey au bord

J.-Cl. Tougeron

Annales scientifiques de l'École Normale Supérieure (1994)

  • Volume: 27, Issue: 2, page 173-208
  • ISSN: 0012-9593

How to cite


Tougeron, J.-Cl.. "Sur les ensembles semi-analytiques avec conditions Gevrey au bord." Annales scientifiques de l'École Normale Supérieure 27.2 (1994): 173-208. <>.

author = {Tougeron, J.-Cl.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Gevrey conditions; Łojasiewicz inequalities; analytic algebra},
language = {fre},
number = {2},
pages = {173-208},
publisher = {Elsevier},
title = {Sur les ensembles semi-analytiques avec conditions Gevrey au bord},
url = {},
volume = {27},
year = {1994},

AU - Tougeron, J.-Cl.
TI - Sur les ensembles semi-analytiques avec conditions Gevrey au bord
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1994
PB - Elsevier
VL - 27
IS - 2
SP - 173
EP - 208
LA - fre
KW - Gevrey conditions; Łojasiewicz inequalities; analytic algebra
UR -
ER -


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  2. [2] E. BIERSTONE et P. MILMAN, Semi-Analytic and Subanalytic Sets (Publications de l'I.H.E.S., n° 67, 1988). Zbl0674.32002MR89k:32011
  3. [3] J. BOCHNAK, M.-F. COSTE-ROY et M. COSTE, Géométrie algébrique réelle, Springer Verlag, Ergebnisse der Mathematik, 1987. Zbl0633.14016
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  5. [5] A. G. KHOVANSKII, Real Analytic Varieties with the Finiteness Property and Complex Abelian Integrals (Funct. Anal. an appl., vol. 18, 1984, p. 199-207). Zbl0584.32016MR86a:32024
  6. [6] B. MALGRANGE et J.-P. RAMIS, Fonctions multisommables (Annales Institut Fourier, vol. 41, n° 3, 1991, p. 1-16). 
  7. [7] R. MOUSSU et C. ROCHE, Théorie de Khovanskii et problème de Dulac (Inventiones, vol. 105, 1991, p. 431-441). Zbl0769.58050MR92e:58169
  8. [8] M. NAGATA, Local Rings (Wiley 1962, Interscience tracts in pure and applied mathematics, 13). Zbl0123.03402MR27 #5790
  9. [9] J.-CL. TOUGERON, Algèbres analytiques topologiquement noethériennes (théorie de Khovanskii) (Annales Institut Fourier, vol. 41, n° 4, 1991). Zbl0786.32011MR93f:32005
  10. [10] J.-CL. TOUGERON, Inégalités de Lojasiewicz globales (Annales de l'Institut Fourier, vol. 41, n° 4, 1991). Zbl0748.32007MR93f:32006
  11. [11] J.-CL. TOUGERONAn Introduction to the Theory of Gevrey Expansions and the Borel Laplace Transform with some Applications (cours de 3e cycle, 1990) et Sur les ensembles analytiques réels définis par des équations Gevrey au bord, manuscrit, 1990. 
  12. [12] J.-CL. TOUGERON, Idéaux de fonctions différentiables (Ergebnisse der Mathematik, vol. 71, 1972). Zbl0251.58001MR55 #13472

Citations in EuDML Documents

  1. Werner Balser, Summability of power series in several variables, with applications to singular perturbation problems and partial differential equations
  2. J. Tougeron, Paramétrisations de petits chemins en géométrie analytique réelle
  3. Jorge Mozo-Fernández, Topological tensor products and asymptotic developments
  4. Zhuangchu Luo, Hua Chen, Changgui Zhang, Exponential-type Nagumo norms and summability of formal solutions of singular partial differential equations
  5. Maria-Angeles Zurro, On the rings of formal solutions of polynomial differential equations
  6. Boele Braaksma, Laurent Stolovitch, Small divisors and large multipliers

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